Solution: Suppose you are standing along an isolated country road (with obviously nothing else better to do), and cars pass by at an average (Poisson)
Question: Suppose you are standing along an isolated country road (with obviously nothing else better to do), and cars pass by at an average (Poisson) rate of 5 per hour.
- What is the probability that in any one hour less than 3 cars pass by?
- What is the probability that in any one 6-hour period exactly 40 cars pass by?
- How long, on the average, once you start standing there, should you expect to wait before the first car goes by?
- What is the probability that you have to wait longer than your answer to part (c)?
- How long on the average, once you start standing there, should you expect to wait until the first three cars go by?
- What is the probability that you have to wait longer than your answer to part (e)?
Deliverable: Word Document 
(See Solution) Let Z be a standard normal random variable. Find the
![[Steps Shown] Cars arrive at a toll](/images/solutions/MC-solution-library-41311.jpg "[Steps Shown] Cars arrive at a toll booth at a mean rate of 10")
[Steps Shown] Cars arrive at a toll booth at a mean rate of 10
(All Steps) Let X be a gamma random variable with θ =4 and
(See Solution) Suppose that X is uniform on [0, 10], find the
(See Solution) Sixty-four students in an introductory college
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